Partition of the spectra for the lower triangular double band matrix as generalized difference operator Δv over the sequence spaces c and lp (1 < p <∞)


DURNA N.

Proyecciones, cilt.39, sa.1, ss.51-71, 2020 (Diğer Kurumların Hakemli Dergileri) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.22199/issn.0717-6279-2020-01-0004
  • Dergi Adı: Proyecciones
  • Sayfa Sayıları: ss.51-71

Özet

© Universidad Catolica del Norte.Let the sequence (vk) is assumed to be either constant or strictly decreasing sequence of positive real numbers satisfying limk∞ vk = L > 0 and supk vk ≤ 2L. Then the generalized difference operator Δv is Δvx = Δv(xn) = (vnxn - vn-1xn-1)n=0∞ with X-1 = v-1 = 0. The aim of this paper is to obtain the approximate point spectrum, the defect spectrum and the compression spectrum of the operator Δv and modified of the operator Δv; on the sequence spaces c and lp(1 < p <∞).